# Fall 2018 - ACMA 355 D100

## Overview

• #### Course Times + Location:

Mo 2:30 PM – 4:20 PM
WMC 3531, Burnaby

We 2:30 PM – 3:20 PM
WMC 2268, Burnaby

• #### Exam Times + Location:

Oct 17, 2018
4:30 PM – 6:20 PM
RCB 8100, Burnaby

Dec 3, 2018
6:30 PM – 8:20 PM
AQ 5018, Burnaby

STAT 330.

## Description

#### CALENDAR DESCRIPTION:

Severity models. Risk measures. Frequency models. Estimation: complete data, modified data, empirical distribution, Nelson-Aalen, ogive, Kaplan-Meier, kernel density, interval. Parametric estimation: method of moments, MLE. Bayesian estimation. Model selection. Covers part of the syllabus for Exam C of the Society of Actuaries and Exam 4 of the Casualty Actuarial Society. Quantitative.

#### COURSE DETAILS:

Outline:

Note that exam C of the SOA and exam 4 of the CAS are being replaced starting in Fall 2018. This course covers part of the syllabus for the new exam STAM of the SOA. Please refer to the CAS website for the syllabi of their new exams.

This course covers the fundamentals of actuarial loss models. The topics covered correspond to Chapters 3-6, 10-14, 15.1-15.2, and 16 of the required textbook. They include the following:

1. Severity models: basic distributional quantities, tail behavior, risk measures, creating new distributions, extreme value distributions.
2. Frequency models: Poisson, negative binomial, binomial distributions, (a,b,0) class, truncation and modification at zero.
3. Review of mathematical statistics: point estimation, measures of quality, interval estimation, tests of hypotheses.
Estimation for complete and modified data: empirical distributions for individual and grouped data, Nelson-Åalen estimator.
4. Kaplan-Meier estimator; means, variances, interval estimation, kernel density models, approximations for large data sets.
5. Parameter estimation: method of moments, percentile matching, maximum likelihood estimation, variance and interval estimation, estimation for discrete distributions. Bayesian estimation.
6. Model selection: graphical comparison, hypothesis tests.

This course is accredited under the Canadian Institute of Actuaries (CIA) University Accreditation Program (UAP) for the 2018-2019 academic year. Achievement of the established exemption grade in this course may qualify a student for exemptions from writing certain preliminary exams. Please note, a combination of courses may be required to achieve a single exemption. Please see http://www.cia-ica.ca/membership/uap for full details.

• Assignments, quizzes and project 20%
• Midterm 1 40%
• Midterm 2 40%

#### NOTES:

Above grading is subject to change.

## Materials

Loss Models: From Data to Decisions, 4th ed., Authors: S.A. Klugman, H.H. Panjer, and G.E. Willmot. Publisher: Wiley

ACTEX SOA Exam STAM Study Manual, Spring 2018 Edition, by S.A.Broverman, Publisher: ACTEX

Survival Models and Their Estimation, 3rd Edition, by D. London, Publisher: ACTEX

Students with Disabilites:
Students requiring accommodations as a result of disability must contact the Centre for Accessible Learning 778-782-3112 or csdo@sfu.ca

Tutor Requests:
Students looking for a Tutor should visit http://www.stat.sfu.ca/teaching/need-a-tutor-.html. We accept no responsibility for the consequences of any actions taken related to tutors.

#### Registrar Notes:

SFU’s Academic Integrity web site http://students.sfu.ca/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html